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Finding the Third Proportional to 112,293 and 168,895

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Solution

The third proportional to 112,293 and 168,895 is: 254,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,293 : 168,895 = 168,895 : x
  2. Step 2: Convert to fraction form
    112,293/168,895 = 168,895/x
  3. Step 3: Cross multiply
    112,293x = 168,895 × 168,895
  4. Step 4: Simplify right side
    112,293x = 28,525,521,025
  5. Step 5: Solve for x
    x = 28,525,521,025/112,293
  6. Step 6: Final answer
    x = 254,027.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.